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Finding the Third Proportional to 339,185 and 744,952

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Solution

The third proportional to 339,185 and 744,952 is: 1,636,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,185 : 744,952 = 744,952 : x
  2. Step 2: Convert to fraction form
    339,185/744,952 = 744,952/x
  3. Step 3: Cross multiply
    339,185x = 744,952 × 744,952
  4. Step 4: Simplify right side
    339,185x = 554,953,482,304
  5. Step 5: Solve for x
    x = 554,953,482,304/339,185
  6. Step 6: Final answer
    x = 1,636,138.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.